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Finding the Fourth Proportional to 2,597.65, 3,896.48 and 649.85

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Solution

The fourth proportional to 2,597.65, 3,896.48 and 649.85 is: 974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.65 : 3,896.48 = 649.85 : x
  2. Step 2: Convert to fraction form
    2,597.65/3,896.48 = 649.85/x
  3. Step 3: Cross multiply
    2,597.65x = 3,896.48 × 649.85
  4. Step 4: Simplify right side
    2,597.65x = 2,532,127.53
  5. Step 5: Solve for x
    x = 2,532,127.53/2,597.65
  6. Step 6: Final answer
    x = 974.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.